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This note specifies six fixed algebraic boundary points admitting an incoming alpha=16 realization and at least five distinct outgoing centers. Exact rational bounds, the intermediate value theorem and monotone polynomial root definitions prove the construction. It contradicts the at-most-three expectation in Melotti–Ramassamy–Thévenin (2023), Remark 4.8, in the realization setting allowing crossings. A fixed boundary crossing excludes proper embeddings. The exact total count and universal maximum remain unknown. The curves are members of the earlier weighted-distance and p-power families of Ash–Bolker (1986), Bourne–Peletier–Roper (2014) and Bourne–Roper (2015). A bounded search through 15 October 2026 located no earlier pure-power four-or-more shared-focus example in its checked corpus; historical priority remains unestablished. AI was used extensively. This preprint is unrefereed and has not received conventional human peer review.
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Kriebel Alec (2026) studied this question.
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